Convert revolution / hour to cycle / hour

Learn how to convert 1 revolution / hour to cycle / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{r e v o l u t i o n}{h o u r}) = x (\frac{c y c l e}{h o u r})

Define the base values of the selected units in relation to the SI unit

(\frac{r a d i a n}{s e c o n d})

Left side: 1.0 (\frac{r e v o l u t i o n}{h o u r}) = \frac{π}{1.8 \times 10^{3}} (\frac{r a d i a n}{s e c o n d}) = \frac{π}{1.8 \times 10^{3}} (\frac{r a d}{s})

Right side: 1.0 (\frac{c y c l e}{h o u r}) = \frac{π}{1.8 \times 10^{3}} (\frac{r a d i a n}{s e c o n d}) = \frac{π}{1.8 \times 10^{3}} (\frac{r a d}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{r e v o l u t i o n}{h o u r}) = x (\frac{c y c l e}{h o u r})

Insert known values =>

1.0 \times \frac{π}{1.8 \times 10^{3}} \times (\frac{r a d i a n}{s e c o n d}) = x \times \frac{π}{1.8 \times 10^{3}} \times (\frac{r a d i a n}{s e c o n d})

Or

1.0 \cdot \frac{π}{1.8 \times 10^{3}} \cdot (\frac{r a d}{s}) = x \cdot \frac{π}{1.8 \times 10^{3}} \cdot (\frac{r a d}{s})

Cancel SI units

1.0 \times \frac{π}{1.8 \times 10^{3}} \cdot (\frac{r a d}{s}) = x \times \frac{π}{1.8 \times 10^{3}} \times (\frac{r a d}{s})

Conversion Equation

\frac{π}{1.8 \times 10^{3}} = x \times \frac{π}{1.8 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{π}{1.8 \times 10^{3}} = x \times \frac{π}{1.8 \times 10^{3}}

Simplify

1.0 = x

Switch sides

x = 1.0

Solve

x

x = 1

Conversion Equation

1.0 (\frac{r e v o l u t i o n}{h o u r}) = 1 (\frac{c y c l e}{h o u r})

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